Solve 3a^246a-49 - ScanMath

Question

Simplify the expression

138 a^{3} - 49

Evaluate

3 a^{2} \times 46 a - 49

Solution

More Steps

Evaluate

3 a^{2} \times 46 a

Multiply the terms

138 a^{2} \times a

Multiply the terms with the same base by adding their exponents

138 a^{2 + 1}

Add the numbers

138 a^{3}

138 a^{3} - 49

Show Solution

a = \frac{3 933156}{138}

Alternative Form

a \approx 0.708118

Evaluate

3 a^{2} \times 46 a - 49

To find the roots of the expression,set the expression equal to 0

3 a^{2} \times 46 a - 49 = 0

Multiply

More Steps

Multiply the terms

3 a^{2} \times 46 a

Multiply the terms

138 a^{2} \times a

Multiply the terms with the same base by adding their exponents

138 a^{2 + 1}

Add the numbers

138 a^{3}

138 a^{3} - 49 = 0

Move the constant to the right-hand side and change its sign

138 a^{3} = 0 + 49

Removing 0 doesn't change the value,so remove it from the expression

138 a^{3} = 49

Divide both sides

\frac{138 a ^{3}}{138} = \frac{49}{138}

Divide the numbers

a^{3} = \frac{49}{138}

Take the 3 -th root on both sides of the equation

3 a^{3} = 3 \frac{49}{138}

Calculate

a = 3 \frac{49}{138}

Solution

More Steps

Evaluate

3 \frac{49}{138}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3 49}{3 138}

Multiply by the Conjugate

\frac{3 49 \times 3 13 8 ^{2}}{3 138 \times 3 13 8 ^{2}}

Simplify

\frac{3 49 \times 3 19044}{3 138 \times 3 13 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

349 \times 319044

The product of roots with the same index is equal to the root of the product

3 49 \times 19044

Calculate the product

3933156

\frac{3 933156}{3 138 \times 3 13 8 ^{2}}

Multiply the numbers

More Steps

Evaluate

3138 \times 3 13 8^{2}

The product of roots with the same index is equal to the root of the product

3 138 \times 13 8^{2}

Calculate the product

3 13 8^{3}

Reduce the index of the radical and exponent with 3

138

\frac{3 933156}{138}

a = \frac{3 933156}{138}

Alternative Form

a \approx 0.708118

Show Solution